(6n-7)(8n-5n+2n+1)=

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Solution for (6n-7)(8n-5n+2n+1)= equation: 


Simplifying
(6n + -7)(8n + -5n + 2n + 1) = 0

Reorder the terms:
(-7 + 6n)(8n + -5n + 2n + 1) = 0

Reorder the terms:
(-7 + 6n)(1 + 8n + -5n + 2n) = 0

Combine like terms: 8n + -5n = 3n
(-7 + 6n)(1 + 3n + 2n) = 0

Combine like terms: 3n + 2n = 5n
(-7 + 6n)(1 + 5n) = 0

Multiply (-7 + 6n) * (1 + 5n)
(-7(1 + 5n) + 6n * (1 + 5n)) = 0
((1 * -7 + 5n * -7) + 6n * (1 + 5n)) = 0
((-7 + -35n) + 6n * (1 + 5n)) = 0
(-7 + -35n + (1 * 6n + 5n * 6n)) = 0
(-7 + -35n + (6n + 30n2)) = 0

Combine like terms: -35n + 6n = -29n
(-7 + -29n + 30n2) = 0

Solving
-7 + -29n + 30n2 = 0

Solving for variable 'n'.

Factor a trinomial.
(-1 + -5n)(7 + -6n) = 0


Subproblem 1
Set the factor '(-1 + -5n)' equal to zero and attempt to solve:

Simplifying
-1 + -5n = 0

Solving
-1 + -5n = 0

Move all terms containing n to the left, all other terms to the right.

Add '1' to each side of the equation.
-1 + 1 + -5n = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -5n = 0 + 1
-5n = 0 + 1

Combine like terms: 0 + 1 = 1
-5n = 1

Divide each side by '-5'.
n = -0.2

Simplifying
n = -0.2

Subproblem 2
Set the factor '(7 + -6n)' equal to zero and attempt to solve:

Simplifying
7 + -6n = 0

Solving
7 + -6n = 0

Move all terms containing n to the left, all other terms to the right.

Add '-7' to each side of the equation.
7 + -7 + -6n = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -6n = 0 + -7
-6n = 0 + -7

Combine like terms: 0 + -7 = -7
-6n = -7

Divide each side by '-6'.
n = 1.166666667

Simplifying
n = 1.166666667
Solution
n = {-0.2, 1.166666667}

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